[DMM] Different reading on reverse polarity

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I tried to measure a 7915 regulator on my HP3478A 5.5 DMM. With correct polarity (Lo=-15V & Hi=GND), the reading is -15.82xx volt, but if I reverse the test lead (Lo=GND & Hi=-15V) the reading becomes +15.63xx volt! According to service manual, there is no calibration on negative DC, and all calibrations on DC is only based on positive reference. So, I don't think a full calibration will solve this problem. Is there anyone having this problem?
 
Any battery will do... 1.5 or 9 volt etc.

It's possible the error measuring on the reg is down to some noise etc on the rails or AC "noise" on the chassis (ground), so reading a battery will prove beyond doubt. I would guess with a meter like yours it should be equal to within the last digit or so.
 
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